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Finding the Fourth Proportional to 349,503.60, 524,153.96 and 136,224

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Solution

The fourth proportional to 349,503.60, 524,153.96 and 136,224 is: 204,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,503.60 : 524,153.96 = 136,224 : x
  2. Step 2: Convert to fraction form
    349,503.60/524,153.96 = 136,224/x
  3. Step 3: Cross multiply
    349,503.60x = 524,153.96 × 136,224
  4. Step 4: Simplify right side
    349,503.60x = 71,402,349,047.04
  5. Step 5: Solve for x
    x = 71,402,349,047.04/349,503.60
  6. Step 6: Final answer
    x = 204,296.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.